Ages 10–11🧮 MathematicsBeing planted

Real-World Mathematical Modelling

Model real-world problems involving ratio, scale, volume, unit conversion, and proportional reasoning with appropriate tools, diagrams, or equations

A first look

This shelf is still being planted — the questions are being written and checked. Come back soon. A Skill needs at least 5 checked questions before it opens here.

Question 1 of 3

A rectangular fish tank is 40 cm long, 25 cm wide, and 30 cm high. How many liters of water can it hold when completely full? (Recall that 1 liter = 1,000 cubic centimeters.)

Question 2 of 3

A rectangular garden box is 120 cm long, 80 cm wide, and 45 cm deep. The gardener will fill the box with soil only up to 90 % of its depth. One litre of soil occupies 1,000 cm³, and the soil is packed into bags that each hold exactly 5 litres. How many whole bags of soil are needed to fill the box as described?

Question 3 of 3

A lemonade recipe calls for 4 parts water to 1 part lemon juice. If Maya wants to make a bigger pitcher using 20 parts water, how many parts lemon juice does she need?

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A free account shows every Skill on the map as it opens — and practises the 40 Mathematical Thinking Skills that are ready today. Every student account needs a parent's email first.

Skill names and descriptions include the Marble Skill Taxonomy © Generative Spark, Inc. (withmarble.com), licensed under ODbL 1.0 (database) and CC BY-SA 4.0 (content). Practice questions are GlowGrades's own, each checked by independent verifiers that must agree before a child ever sees it.